On fixed points of fundamentally nonexpansive mappings in Banach spaces
سال انتشار: 1394
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 105
فایل این مقاله در 6 صفحه با فرمت PDF قابل دریافت می باشد
- صدور گواهی نمایه سازی
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_IJNAA-7-1_021
تاریخ نمایه سازی: 11 آذر 1401
چکیده مقاله:
We first obtain some properties of a fundamentally nonexpansive self-mapping on a nonempty subset of a Banach space and next show that if the Banach space is having the Opial condition, then the fixed points set of such a mapping with the convex range is nonempty. In particular, we establish that if the Banach space is uniformly convex, and the range of such a mapping is bounded, closed and convex, then its the fixed points set is nonempty, closed and convex.
کلیدواژه ها:
Fixed point ، fundamentally nonexpansive mappings ، nonexpansive mappings ، Opial's condition ، uniformly convex Banach spaces
نویسندگان
- -
Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran